Check the laplace method for solving the wave equation. It is well-suited for problems with different boundary conditions and more robust than the d'alembert solution

Note: this equation is also known as telegraphers' equation or simply telegraph equation. (1) R. Habermann, Applied Partial Differential Equations; with Fourier Series and Boundary Value …

Explore related questions calculus-of-variations classical-mechanics wave-equation euler-lagrange-equation See similar questions with these tags.

Nov 21, 2011 · Notice that the wave equation's partial derivatives below are factored into first order PDE operators like a second degree polynomial. Then, these PDE operators are applied one at a time to …

Jan 12, 2016 · 2 It seems you have two questions: first, whether Fourier analyzing a square wave gives only odd harmonics and whether the approach you are following will converge to a square wave. The …

Jul 2, 2025 · 2 I am confused about the Kirchhoff formula for the wave equation in 3D. In Evans PDE the following formula is proven:

Mar 19, 2024 · 0 Comment: All formula of electrodynamics and Special Relativity follow out of the 4-dimensional Wave equation, which is the 4-dimensional Laplace equation in reciprocal (hyperbolic) …

Jul 17, 2024 · Wave Equation general solution on 1D Ask Question Asked 1 year, 4 months ago Modified 1 year, 4 months ago

Oct 16, 2015 · 2.Setting a boundary condition of the type $$\frac {du} {dx} (x_0,t)=0$$ means that the wave will reflect and not change sign. My question: What happens to the incoming wave if I set both …

Sep 9, 2022 · I am a very beginner of PDEs. I want to study the wave equation in 1D and 2D for numerical methods. One basic question is which type the wave equation is. Elliptic, parabolic, or …